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Finding the Fourth Proportional to 20,223.29, 27,907.26 and 11,271.65

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Solution

The fourth proportional to 20,223.29, 27,907.26 and 11,271.65 is: 15,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223.29 : 27,907.26 = 11,271.65 : x
  2. Step 2: Convert to fraction form
    20,223.29/27,907.26 = 11,271.65/x
  3. Step 3: Cross multiply
    20,223.29x = 27,907.26 × 11,271.65
  4. Step 4: Simplify right side
    20,223.29x = 314,560,685.37
  5. Step 5: Solve for x
    x = 314,560,685.37/20,223.29
  6. Step 6: Final answer
    x = 15,554.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.